Question

25s^2+ 30s +9 with formula​

Answer 1

Answer:

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Step-by-step explanation:

The first term is,  25s2  its coefficient is  25 .

The middle term is,  -30s  its coefficient is  -30 .

The last term, "the constant", is  +9  

Step-1 : Multiply the coefficient of the first term by the constant   25 • 9 = 225  

Step-2 : Find two factors of  225  whose sum equals the coefficient of the middle term, which is   -30 .

     -225    +    -1    =    -226  

     -75    +    -3    =    -78  

     -45    +    -5    =    -50  

     -25    +    -9    =    -34  

     -15    +    -15    =    -30    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  -15  

                    25s2 - 15s - 15s - 9

Step-4 : Add up the first 2 terms, pulling out like factors :

                   5s • (5s-3)

             Add up the last 2 terms, pulling out common factors :

                   3 • (5s-3)

Step-5 : Add up the four terms of step 4 :

                   (5s-3)  •  (5s-3)

            Which is the desired factorization